Math Problem Statement
Реши и объясни
Solution
The problem asks to determine which number corresponds to point B on the coordinate line.
Point B is located at the position 2 on the number line. The four answer choices are square roots of numbers:
A)
B)
C)
D)
We need to check which of these values is closest to 2. Here are the approximate values of the square roots:
Among these, the closest value to 2 is , but that is not in the answer choices. However, the closest approximation from the provided options is , which is approximately 2.24.
Thus, the correct answer is C) .
Do you need more details or have any questions?
Here are five related questions to think about:
- How can we estimate square roots without a calculator?
- What is the value of and why is it relevant here?
- How would the answer change if point B were located at 3 on the number line?
- Can you think of other ways to visually represent irrational numbers like ?
- How do the square roots of non-perfect squares behave on a number line compared to perfect squares?
Tip: When estimating square roots, you can always look for perfect squares near the number you are approximating to get a rough idea.
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Math Problem Analysis
Mathematical Concepts
Number Line
Square Roots
Irrational Numbers
Approximation
Formulas
Square Root Approximation
Theorems
Properties of Real Numbers
Suitable Grade Level
Grades 6-8